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We present three statistical descriptions for systems of classical particles and consider their extension to hybrid quantum-classical systems. The classical descriptions are ensembles on configuration space, ensembles on phase space, and a…

In the study of open quantum systems, one typically obtains the decoherence dynamics by solving a master equation. The master equation is derived using knowledge of some basic properties of the system, the environment and their interaction:…

量子物理 · 物理学 2011-06-22 Hefeng Wang , S. Ashhab , Franco Nori

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · 物理学 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

Quantum non-Markovianity is crucially related to the study of dynamical maps, which are usually derived for initially factorized system-bath states. We here demonstrate that linear response theory also provides a way to derive dynamical…

量子物理 · 物理学 2018-07-26 Philipp Strasberg , Massimiliano Esposito

Quantum systems are invariably open, evolving under surrounding influences rather than in isolation. Standard open quantum system methods eliminate all information on the environmental state to yield a tractable description of the system…

量子物理 · 物理学 2014-09-26 Jake Iles-Smith , Neill Lambert , Ahsan Nazir

We define an observable-space framework of Quantum Koopman Algorithms (QKAs) for simulating the dynamics of both linear quantum and nonlinear classical systems, based on approximately closed sets of observables and efficient coherent…

量子物理 · 物理学 2026-05-20 David Jennings , Kamil Korzekwa , Matteo Lostaglio , Guoming Wang

Providing the microscopic behavior of a thermalization process has always been an intriguing issue. There are several models of thermalization, which often requires interaction of the system under consideration with the microscopic…

量子物理 · 物理学 2019-07-24 Prathik J Cherian , Sagnik Chakraborty , Sibasish Ghosh

We present a quantum algorithm for the simulation of molecular systems that is asymptotically more efficient than all previous algorithms in the literature in terms of the main problem parameters. As in previous work [Babbush et al., New…

We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases with respect to the configuration about…

量子物理 · 物理学 2017-11-29 Yong Huangfu , Jun Jing

We deal with the reversible dynamics of coupled quantum and classical systems. Based on a recent proposal by the authors, we exploit the theory of hybrid quantum-classical wavefunctions to devise a closure model for the coupled dynamics in…

数学物理 · 物理学 2022-08-10 François Gay-Balmaz , Cesare Tronci

We have shown that quantum systems on finite-dimensional Hilbert spaces are equivalent under local transformations. Using these transformations give rise to a gauge group that connects the hamiltonian operators associated with each quantum…

量子物理 · 物理学 2022-03-02 M. Caruso

We consider a macroscopic quantum system such as a qubit, interacting with a bath of fermions as in the Fr\"ohlich polaron model. The interaction Hamiltonian is thus linear in the macroscopic system variable, and bilinear in the fermions.…

量子物理 · 物理学 2020-07-16 Erik Aurell , Jan Tuziemski

The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is…

量子物理 · 物理学 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti

Quantum mechanics describes the unitary time evolution of closed systems. In practice, every quantum system interacts with the environment leading to an irreversible loss of coherence. The Spin-Boson model (SBM) is central to the…

化学物理 · 物理学 2020-09-28 Nirmalendu Acharyya , Martin Richter , Benjamin P. Fingerhut

The counter rotating-wave term (CRT) effects from the system-bath coherence on the dynamics of quantum correlation of two qubits in two independent baths and a common bath are systematically investigated. The hierarchy approach is extended…

量子物理 · 物理学 2013-10-21 Chen Wang , Qing-Hu Chen

The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy…

量子物理 · 物理学 2024-10-21 Hideaki Takahashi , Raffaele Borrelli

A variational approach based on the multi-coherent-state ansatz with asymmetric parameters is employed to study the ground state of the spin-boson model. Without any artificial approximations except for the finite number of the coherent…

量子气体 · 物理学 2014-12-22 Liwei Duan , Shu He , Qing-Hu Chen

The thermodynamics of a quantum system interacting with an environment that can be assimilated to a harmonic oscillator bath has been extensively investigated theoretically. In recent experiments, the system under study however does not…

量子物理 · 物理学 2021-03-25 Erik Aurell , Jan Tuziemski

In order to simulate open quantum systems, many approaches (such as Hamiltonian-based solvers in dynamical mean-field theory) aim for a reproduction of a desired environment spectral density in terms of a discrete set of bath states,…

强关联电子 · 物理学 2020-10-07 Max Nusspickel , George H. Booth

We present an approach that allows quantifying decoherence processes in an open quantum system subject to external time-dependent control. Interactions with the environment are modeled by a standard bosonic heat bath. We develop two…

介观与纳米尺度物理 · 物理学 2010-10-12 Dmitry Solenov , Vladimir Privman